Court records show his criminal history is in New Mexico and Texas. One of the charges includes an assault and injury to a child conviction in Texas in 1993. Galindo is now facing charges for sexually assaulting a 1-month-old and child abuse resulting in death.

According to the Office of the Medical Investigator, the infant's injuries included brain bleed, a bite mark on her cheek, a lacerated liver, and anal and vaginal tearing.

The criminal complaint identifies Galindo as the boyfriend of the dead infant's mother. He lists his emergency contact on his booking sheet as his wife, a different woman.

At about 4 a.m. Thursday, deputies were dispatched to the 1900 block of Lake Avenue Southwest in Albuquerque on a report of a deceased child, Sheriff's Office Lt. David Knowles said.

Deputies found the 1-month-old baby dead when they arrived and are treating the death as suspicious, he said.

"A 1-month-old baby has died. It's a very tragic case. It's a very challenging case to investigate," Knowles said. "We want to know what happened 24 hours before this event, and what has taken place with the movement of people who knew, maybe, some pieces of information after the event," said Knowles.

Investigators said it remains unclear how the infant died, and it has taken them a long time to process the scene because evidence was all over the house.

The New Mexico Children, Youth and Families Department said it is assisting in the investigation.

"The evidence doesn't lie. The evidence is going to lead us down the path that we need to go to. We just need to be able to examine it, and analyze it for what it's telling us. This isn't TV of course, so it takes us time to be able to get some information," Knowles said.

Law enforcement won't say if there are other children living in the home.

According to court records, Galindo also has a history of drug trafficking charges.